GCF of 6382/668, 3048/2474
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6382/668, 3048/2474 i.e 2/826316 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6382/668, 3048/2474.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 6382/668,3048/2474?
Given fractions are 6382/668,3048/2474
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 6382/668,3048/2474, numerators are 6382,3048
Denominators are 668,2474
The GCF of 6382,3048 is 2 .
LCM of 668,2474 is 826316.
The greatest common factor of 6382/668,3048/2474 = [GCF of 6382,3048]/[LCM of 668,2474]= 2/826316
Therefore, the GCF of 6382/668,3048/2474 is 2/826316.
To find the highest common factor of 6382,3048, we have to find the factors of both numbers and list the highest common factor.
The factors of 6382 are 1, 2, 3191, 6382
The factors of 3048 are 1, 2, 3, 4, 6, 8, 12, 24, 127, 254, 381, 508, 762, 1016, 1524, 3048
The HCF of 6382,3048 is 2.
Lets's calculate GCF of 6382,3048
| 2 | 6382, 3048 |
| 3191, 1524 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6382,3048 By Matching Biggest Common Factor Method
Now, list down the factors of 6382
:1,2,3191,6382
Now, list down the factors of 3048
:1,2,3,4,6,8,12,24,127,254,381,508,762,1016,1524,3048
Greatest Common Factor
We found the factors 6382,3048 . The biggest common factor number is the GCF number.
So the greatest common factor 6382,3048 is 2.
Lets's calculate LCM of 668,2474
| 2 | 668, 2474 |
| 334, 1237 |
∴ So the LCM of the given numbers is 2 x 334 x 1237 = 826316
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/826316
Therefore, the GCF of Fractions 6382/668,3048/2474 is 2/826316
Least Common Multiple of 668,2474 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 668,2474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(668,2474) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(668,2474) x common factors =2 x 1 = 2
LCM(668,2474) = ( 668 × 2474 ) / 2
LCM(668,2474) = 1652632 / 2
LCM(668,2474) = 826316
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FAQs on GCF of Fractions of 6382/668, 3048/2474
1. What is the HCF of 6382,3048?
The HCF of 6382,3048 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 6382/668, 3048/2474?
Answer: GCF of Numerators as per given numbers 6382/668, 3048/2474 is
GCF of Numerators i.e. for 6382,3048 is 2
LCM of denominators i.e. for 668,2474 is 826316.
Thus, GCF of Fractions is 2/826316.Finally, GCF of Fractions for 6382/668, 3048/2474 is 2/826316.